Search results for "INTERPOLATION"

Computer Animation to teach interpolation

2019

<div data-canvas-width="460.953206963072">Aunque las asignaturas de matemáticas son un tema básico en los estudios de una ingeniería, a menudo son considerados por los estudiantes como una asignatura difícil. En este trabajo presentamos una experiencia de aprendizaje basada en la animación por ordenador mediante el uso de la modelización matemática. Nuestro objetivo es proporcionar a los estudiantes un contexto que motive el estudio de la interpolación de funciones. Presentamos un planteamiento del problema que se pretende resolver mediante</div><div data-canvas-width="460.9542195018301">el Ciclo de Modelización. Se presentan y discuten tanto desarrollo de la actividad com…

Neural network approach to solving fuzzy nonlinear equations using Z-numbers

2020

In this article, the fuzzy property is described by means of the Z-number as the coefficients and variables of the fuzzy equations. This alteration for the fuzzy equation is appropriate for system modeling with Z-number parameters. In this article, the fuzzy equation with Z-number coefficients and variables is tended to be used as the models for the uncertain systems. The modeling issue related to the uncertain system is to obtain the Z-number coefficients and variables of the fuzzy equation. Nevertheless, it is extremely hard to get the Z-number coefficients of the fuzzy equations. In this article, in order to model the uncertain nonlinear systems, a novel structure of the multilayer neura…

Envelopes of open sets and extending holomorphic functions on dual Banach spaces

2010

We investigate certain envelopes of open sets in dual Banach spaces which are related to extending holomorphic functions. We give a variety of examples of absolutely convex sets showing that the extension is in many cases not possible. We also establish connections to the study of iterated weak* sequential closures of convex sets in the dual of separable spaces.

Banach spaces which are r-uniformly noncreasy

2003

Abstract We consider a family of spaces wider than UNC spaces introduced by Prus, and we give some fixed point results in the setting of these spaces.

On lifting the approximation property from a Banach space to its dual

2014

Intrinsic characterizations of perturbation classes on some Banach spaces

2010

We investigate relationships between inessential operators and improjective operators acting between Banach spaces X and Y, emphasizing the case in which one of the spaces is a C(K) space. We show that they coincide in many cases, but they are different in the case X=Y =C(K 0), where K 0 is a compact space constructed by Koszmider. Mathematics Subject Classification (2000)47A53 KeywordsInessential operators-Improjective operators-Fredholm theory

Conversion of Dupin Cyclide Patches into Rational Biquadratic Bézier Form

2005

This paper uses the symmetry properties of circles and Bernstein polynomials to establish a series of interesting barycentric properties of rational biquadratic Bezier patches. A robust algorithm is presented, based on these properties, for the conversion of Dupin cyclide patches into Bezier form. A set of conversion examples illustrates the use of this algorithm.

Singularities of rational Bézier curves

2001

We prove that if an nth degree rational Bezier curve has a singular point, then it belongs to the two (n − 1)th degree rational Bezier curves defined in the (n − 1)th step of the de Casteljau algorithm. Moreover, both curves are tangent at the singular point. A procedure to construct Bezier curves with singularities of any order is given.  2001 Elsevier Science B.V. All rights reserved.

Smoothness spaces of higher order on lower dimensional subsets of the Euclidean space

2015

We study Sobolev type spaces defined in terms of sharp maximal functions on Ahlfors regular subsets of R n and the relation between these spaces and traces of classical Sobolev spaces. This extends in a certain way the results of Shvartsman (20) to the case of lower dimensional subsets of the Euclidean space.

Interpolation properties of Besov spaces defined on metric spaces

2010

Let X = (X, d, μ)be a doubling metric measure space. For 0 < α < 1, 1 ≤p, q < ∞, we define semi-norms When q = ∞ the usual change from integral to supremum is made in the definition. The Besov space Bp, qα (X) is the set of those functions f in Llocp(X) for which the semi-norm ‖f ‖ is finite. We will show that if a doubling metric measure space (X, d, μ) supports a (1, p)-Poincare inequality, then the Besov space Bp, qα (X) coincides with the real interpolation space (Lp (X), KS1, p(X))α, q, where KS1, p(X) is the Sobolev space defined by Korevaar and Schoen [15]. This results in (sharp) imbedding theorems. We further show that our definition of a Besov space is equivalent with the definiti…